Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 82, 189, 920, 391 i.e. 1 largest integer that divides all the numbers equally.
GCD of 82, 189, 920, 391 is 1
GCD(82, 189, 920, 391) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 82, 189, 920, 391 is 1
GCD(82, 189, 920, 391) = 1
Given Input numbers are 82, 189, 920, 391
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 189
List of positive integer divisors of 189 that divides 189 without a remainder.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 391
List of positive integer divisors of 391 that divides 391 without a remainder.
1, 17, 23, 391
Greatest Common Divisior
We found the divisors of 82, 189, 920, 391 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 189, 920, 391 is 1.
Therefore, GCD of numbers 82, 189, 920, 391 is 1
Given Input Data is 82, 189, 920, 391
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 82 is 2 x 41
Prime Factorization of 189 is 3 x 3 x 3 x 7
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
Prime Factorization of 391 is 17 x 23
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(82, 189) = 15498
GCD(82, 189) = ( 82 x 189 ) / 15498
GCD(82, 189) = 15498 / 15498
GCD(82, 189) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 920
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 920) = 920
GCD(1, 920) = ( 1 x 920 ) / 920
GCD(1, 920) = 920 / 920
GCD(1, 920) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 391
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 391) = 391
GCD(1, 391) = ( 1 x 391 ) / 391
GCD(1, 391) = 391 / 391
GCD(1, 391) = 1
GCD of 82, 189, 920, 391 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 82, 189, 920, 391?
GCD of 82, 189, 920, 391 is 1
2. Where do I get the detailed procedure to find GCD of 82, 189, 920, 391?
You can find a detailed procedure to find GCD of 82, 189, 920, 391 on our page.
3. How to find GCD of 82, 189, 920, 391 on a calculator?
You can find the GCD of 82, 189, 920, 391 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.